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On the Artin formalism for triple product -adic -functions: Chow--Heegner points vs. Heegner points
Kâzım Büyükboduk, Daniele Casazza, Aprameyo Pal +1
Our main objective in this paper (which is expository for the most part) is to study the necessary steps to prove a factorization formula for a certain triple product -adic -…
Automorphic -periods and the subconvexity problem for
Aprameyo Pal, Carlos de Vera-Piquero
We prove a new (conditional) result towards the subconvexity problem for certain automorphic -functions for . This follows from the computati…
p-adic families of d-th Shintani liftings
Daniele Casazza, Carlos de Vera-Piquero
In this note we give a detailed construction of a -adic -th Shintani lifting. We derive a -adic version of Kohnen's formula relating Fourier coefficients of hal…
Pullbacks of Saito--Kurokawa lifts and a central value formula
Aprameyo Pal, Carlos de Vera-Piquero
We prove an explicit central value formula for a family of complex -series of degree for which arise as factors of certain Garret--Ranki…
Heegner points on Hijikata-Pizer-Shemanske curves
Matteo Longo, Victor Rotger, Carlos de Vera-Piquero
We study Heegner points on elliptic curves, or more generally modular abelian varieties, coming from uniformization by Shimura curves attached to a rather general type of quaternio…